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Finding the Fourth Proportional to 321,878.20, 482,817.30 and 202,030.60

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Solution

The fourth proportional to 321,878.20, 482,817.30 and 202,030.60 is: 303,045.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,878.20 : 482,817.30 = 202,030.60 : x
  2. Step 2: Convert to fraction form
    321,878.20/482,817.30 = 202,030.60/x
  3. Step 3: Cross multiply
    321,878.20x = 482,817.30 × 202,030.60
  4. Step 4: Simplify right side
    321,878.20x = 97,543,868,809.38
  5. Step 5: Solve for x
    x = 97,543,868,809.38/321,878.20
  6. Step 6: Final answer
    x = 303,045.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.